Magnetic Sphere Segmentation for Spatial Visualization

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Solution Overview

Problem

Existing magnetic construction toys do not effectively allow visualization of shapes formed by intersecting spheres, particularly in breaking a ball into finite equal parts where at least one part does not contain the center on the border or inside, limiting educational and spatial visualization capabilities.

Innovation Solution

A three-dimensional magnetic construction toy composed of 26 modular segments, defined by the intersection of spherical surfaces along Cartesian coordinate axes, allowing for the assembly of a sphere with convex and concave surfaces, utilizing cylindrical magnets for easy assembly and disassembly, enabling the creation of various shapes and objects.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Loss of information

If a sphere is divided into segments using intersecting spherical surfaces along Cartesian coordinate axes, then the visualization of symmetrical sectioning and spatial thinking is enhanced, but the device complexity and manufacturing difficulty increase due to the unique convex and concave surface geometries

Engineering Contradiction:

Improvespatial visualization capabilityVSAvoidsegment geometry complexity

Core Design Contradiction:

Loss of informationVSDevice complexity

Solution Approach 1:

The sphere is divided into 26 segments using intersecting spherical surfaces along Cartesian coordinate axes, creating modular construction pieces with unique convex and concave surfaces that enable visualization of symmetrical sectioning while maintaining manageable complexity through standardization of the segmentation pattern

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

The segments are defined by intersections of spherical surfaces rather than flat planes, creating curved convex and concave surfaces that accurately represent spherical geometry and enable authentic spatial visualization of spherical sectioning

Inventive Principle:

Principle #14Spheroidality (Curvature)

2Adaptability or versatility

If 26 modular segments with magnetic connectors are used to form a sphere, then over 10,000 assembly combinations are enabled for educational versatility, but the manufacturing precision requirements increase due to the need for accurate convex-concave surface fitting

Engineering Contradiction:

Improveassembly combination varietyVSAvoidsurface fitting tolerance

Core Design Contradiction:

Adaptability or versatilityVSManufacturing precision

Solution Approach 1:

The sphere is segmented into 26 standardized modular pieces with consistent magnetic connector placements and uniform surface curvature radii, allowing high versatility through combinatorial assembly while controlling manufacturing precision through repetition of identical geometric patterns across all segments

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

Each segment is designed with universal magnetic connectors and standardized spherical surface geometry that allows it to function in multiple positions and orientations within various assemblies, enabling over 10,000 combinations without requiring unique precision features for each piece

Inventive Principle:

Principle #6Universality (Multi-functionality)

3Ease of operation

If cylindrical magnets are embedded in convex and concave surfaces for easy assembly and disassembly, then the ease of operation improves, but the manufacturing complexity increases due to the dual-surface magnet embedding process

Engineering Contradiction:

Improveassembly and disassembly convenienceVSAvoidmagnet embedding process complexity

Core Design Contradiction:

Ease of operationVSEase of manufacture

Solution Approach 1:

The magnetic connectors are integrated into the segment design from the beginning, with magnets embedded in both convex and concave surfaces during the molding process, creating self-contained modular units that are easy to assemble and disassemble without requiring separate magnet installation steps

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

The magnetic segments are designed to self-align and self-secure through the attraction between convex and concave surfaces, eliminating the need for external tools or complex assembly mechanisms and allowing users to easily assemble and disassemble the construction toy

Inventive Principle:

Principle #25Self-service

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

Enables the visualization of symmetrical sectioning of a sphere into 26 unique parts, providing over 10,000 assembly combinations, enhancing educational tools for spatial thinking and combinatorial analysis, and serving as a versatile toy for spatial imagination and decoration.

Implementation Method 1

utilizing cylindrical magnets for easy assembly and disassembly

Methodology Applied

Scientific EffectMagnetism: Magnetism

Data Source

PatentUS10265638B2Three-dimensional magnetic construction kit-toy

Publication Date: 2019.04.23 DEINYCHENKO FEDIR

AI summary

A spherical construction toy includes six segments consisting of a single outer convex surface and four inner concave surfaces, twelve segments consisting of a single outer convex surface, two inner convex surfaces, and two inner concave surfaces; and eight segments consisting of a single, outer convex surface and three inner convex surfaces. The segments are defined by the intersection of spherical surfaces having identical radius and disposed along Cartesian coordinate axes with the surface at the common center. The segments, when assembled in a base configuration with the outer surfaces disposed away from the common center, form a spherical assembly.